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Finding the Fourth Proportional to 8,533.64, 12,804.36 and 3,854.90

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Solution

The fourth proportional to 8,533.64, 12,804.36 and 3,854.90 is: 5,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.64 : 12,804.36 = 3,854.90 : x
  2. Step 2: Convert to fraction form
    8,533.64/12,804.36 = 3,854.90/x
  3. Step 3: Cross multiply
    8,533.64x = 12,804.36 × 3,854.90
  4. Step 4: Simplify right side
    8,533.64x = 49,359,527.36
  5. Step 5: Solve for x
    x = 49,359,527.36/8,533.64
  6. Step 6: Final answer
    x = 5,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.